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Finding the Fourth Proportional to 506.39, 698.83 and 296.60

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Solution

The fourth proportional to 506.39, 698.83 and 296.60 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.39 : 698.83 = 296.60 : x
  2. Step 2: Convert to fraction form
    506.39/698.83 = 296.60/x
  3. Step 3: Cross multiply
    506.39x = 698.83 × 296.60
  4. Step 4: Simplify right side
    506.39x = 207,268.74
  5. Step 5: Solve for x
    x = 207,268.74/506.39
  6. Step 6: Final answer
    x = 409.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.